Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Proving Special Angle Pairs |
Grade: 10-a Lesson: S1-L6 |
Explanation: |
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
If two angles are both supplementry to the same angle (or congruent angles) then the angles are congruent. |
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2 |
Step |
As an example . we know that if \$\angle A\$ is supplementry to a 30° angle, then \$m\angle A = 150° \$. If \$\angle B\$ is also supplementry to a 30° angle , then \$m\angle B = 150° \$ too , and \$m\angle A = m\angle B\$. |
|
3 |
Step |
Given |
\$\angle A and \angle B\$ are supplementry angles |
4 |
Step |
Given |
\$\angle A and \angle c\$ are supplementry angles |
5 |
Step |
Prove |
\$\angle B \cong \angle C\$ |
6 |
Step |
Defination of supplementry angles |
\$m\angle A + m \angleB = 180\$, \$m\angle A + m\angle C = 180\$ |
7 |
Step |
Substitution |
\$m \angle A + m \angle B\$ = \$m \angle A +m \angle C\$ |
8 |
Step |
Addition property of equality |
\$ m \angle B = m \angle C\$ |
9 |
Step |
Definition of congruent angles |
\$\angle B \cong \angle C\$ |
10 |
Answer |
Prove \$\angle B \cong \angle C\$ |
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